Geometric limits of quasi-Fuchsian groups

2007/02/24 by Soma, Teruhiko
#30F40 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.math/0702725

Abstract

In this paper, we will determine the topological types of hyperbolic 3-anifolds H³/G such that G is a geometric limit of any algebraically convergent sequence of quasi-Fuchsian groups.

Related

• Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces
• Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
• Convergence of quasi-Fuchsian groups using critical exponent
• Geometry and topology of geometric limits I
• Limits of quasifuchsian groups with small bending